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ahrayia [7]
4 years ago
15

Based on the type of equations in the system, what is the greatest possible number of solutions (x2+y2=9/9x+2y=16?

Mathematics
2 answers:
ozzi4 years ago
8 0

Answer:

`Option B.

Step-by-step explanation:

The given system of equations is

x^2+y^2=9

9x+2y=16

The graph of first equation is circle and the graph of second equation is a line.

We know that a line can intersect a circle at most 2 times. So, the greatest possible number of solutions is 2.

First equation can be rewritten as

x^2+y^2=3^2

It is the standard form of a circle (x-h)^2+(y-k)^2=r^2, where (h,k) is center and r is radius.

In the above equation h=0,k=0 and r=3. It is a circle with radius 3 and centered at origin.

The second equation is

9x+2y=16

It is a linear equation.

Table of values.

x    y

0    8

1     3.5

2    -1

Plot these points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the line and circle intersect each other at two points. So, the given system of equation have two solutions.

Therefore, the correct option is B.

Rama09 [41]4 years ago
5 0

Answer:

c the waydeez

Step-by-step explanation:

explanations n more to coke

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Rajesh invested $30,000 into an account that compounds interest monthly at a rate of 2.16%. He has made arrangements to withdraw
Bond [772]

By Evaluating the Compound Interest, we come to know that Rajesh will have enough money in the account to cover all of the required loan payments.

The Principal Amount(P) = $30,000

Rate of Interest (r) = 2.16 %

Time(t) = 10 years

Number of Times it is Compounded in a year(n) = 12

Now, we have

A =P(1+\frac{r}{100n}) ^{nt}

Putting all the values, we evaluate the amount,

A =30,000(1+\frac{2.16}{100*12}) ^{12*10}\\\\A = 30,000 * 1.240\\A = 37,225.84

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Yes, he will have enough money in the account to cover all of the required loan payments.

To read more about Compound Interest, visit brainly.com/question/29335425

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5 0
1 year ago
I need help with my math work.
Lesechka [4]

There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.

Let's translate the question.

Solution to the system

That's the x and y values where the two lines cross.  That's because the meeting point is the value of x and y that satisfies both equations.

Approximation ... to the nearest integer values

Where two integer grid lines cross is called a lattice point.  It's a point with integer coordinates.  Our solution, the meet of these two lines, doesn't fall exactly on a lattice point.  The nearest integer values means the closest lattice point to our intersection of lines.

Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.

Answer: (2,3)   second choice

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3 years ago
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Is a) skewed to the left
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A liquid storage container is being filled at a constant rate. The container is being filled at a rate of 1/3 gallon per 1/4 min
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